Theorems · Definition · order theory

RelIso.trans

{α : Type u_1} →
  {β : Type u_2} →
    {γ : Type u_3} → {r : α → α → Prop} → {s : β → β → Prop} → {t : γ → γ → Prop} → r ≃r s → s ≃r t → r ≃r t

Composition of two relation isomorphisms is a relation isomorphism.

Defined in

Mathlib.Order.RelIso.Basic

Cited by

18 results in Mathlib

Foundations

Depth 23 from the axioms · uses Quot.sound